List of champions for factoring Cunningham numbers: Quadratic sieve method: 3563 C116 3,329+ A. K. Lenstra & M. Manasse & al. with many computers 3138 C116 10,142+ A. K. Lenstra & M. Manasse & al. with many computers Special number field sieve: 3662 C162 12,151- FactOregon/CWI 3409 C158 2,523- A. K. Lenstra & D. Bernstein with two MasPars General number field sieve: 3787 C107 6,223+ M. Huizing (CWI) 3663 C105 3,367- FactOregon/CWI Elliptic curve method: 3644 P42 2,603- S. S. Wagstaff, Jr with a MasPar 3335 P42 10,201- D. Rusin with a SparcStation Largest penultimate prime factor (ultimate factor shown also): 3409 p69*p90 2,523- A. K. Lenstra & D. Bernstein with two MasPars 3590 p68*p69 6,178+ R. Silverman with several computers First five holes in each table on May 9, 1995: 2,527- c145 2,559- c142 2,563- c146 2,565- c115 2,569- c128 2,521+ c140 2,569+ c144 2,587+ c151 2,589+ c150 2,611+ c123 2,934L c133 2,962M c116 2,974L c144 2,982L c108 2,982M c113 2,524+ c119 2,536+ c156 2,556+ c134 2,568+ c120 2,592+ c174 3,331- c139 3,349- c167 3,365- c111 3,371- c118 3,373- c178 3,313+ c129 3,316+ c127 3,317+ c151 3,332+ c157 3,344+ c144 5,233- c148 5,247- c147 5,253- c143 5,505M c109 5,515M c121 5,223+ c129 5,226+ c157 5,239+ c147 5,242+ c150 5,248+ c156 6,199- c122 6,209- c111 6,211- c108 6,221- c139 6,227- c150 6,206+ c146 6,209+ c130 6,218+ c130 6,224+ c137 6,226+ c148 7,187- c121 7,193- c109 7,199- c132 7,205- c136 7,211- c173 7,181+ c114 7,188+ c150 7,191+ c152 7,193+ c139 7,194+ c116 10,163- c138 10,167- c142 10,169- c152 10,173- c154 10,187- c152 10,158+ c120 10,163+ c139 10,166+ c164 10,167+ c118 10,169+ c145 11,151- c139 11,167- c128 11,169- c151 11,181- c177 11,187- c143 11,142+ c141 11,146+ c132 11,148+ c147 11,149+ c145 11,151+ c139 12,137- c123 12,139- c119 12,149- c156 12,161- c135 12,163- c120 12,148+ c156 12,151+ c128 12,155+ c111 12,157+ c106 12,163+ c132 Here is the list of smaller but needed numbers: 2,597+ c104 P. Montgomery # 3750 7,203- c104 S. Wagstaff # 3789 11,177- c104 P. Leyland # 3752 11,275M c105 P. Montgomery # 3747